2018
DOI: 10.1061/(asce)be.1943-5592.0001171
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Vector Form Intrinsic Finite-Element Analysis for Train and Bridge Dynamic Interaction

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Cited by 18 publications
(8 citation statements)
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“…The unit vector, e n + 1 , in the convected coordinate of the element is updated as en+1=1ln+1()xn+1axn+1b. As the predicted values of x n + 1 and β n + 1 are absolute displacements, rigid‐body motions need to be tilted out to obtain pure deformation. Virtual reverse motion is adopted herein to eliminate rigid body motion, and a reference node, such as a in Figure , is selected. Rigid‐body translation d , between xn+1a and xna, can then be tilted out as in Figure b.…”
Section: Application Of Vfife To Rthsmentioning
confidence: 99%
See 1 more Smart Citation
“…The unit vector, e n + 1 , in the convected coordinate of the element is updated as en+1=1ln+1()xn+1axn+1b. As the predicted values of x n + 1 and β n + 1 are absolute displacements, rigid‐body motions need to be tilted out to obtain pure deformation. Virtual reverse motion is adopted herein to eliminate rigid body motion, and a reference node, such as a in Figure , is selected. Rigid‐body translation d , between xn+1a and xna, can then be tilted out as in Figure b.…”
Section: Application Of Vfife To Rthsmentioning
confidence: 99%
“…In this paper, a parallel RTHS platform is proposed based on the vector form intrinsic finite element (VFIFE) and the field programmable gate array (FPGA), which can effectively relieve the computational burden in RTHS with a numerical model containing many DOFs. The VFIFE is a method of structural analysis developed by Ting et al to handle nonlinear dynamic problems involving large deformations or rigid motions . Many studies on structural nonlinearity have been carried out using the VFIFE.…”
Section: Introductionmentioning
confidence: 99%
“…The continuous development and update of new elements as well as algorithms allow for a wide application of VFIFE in many fields, such as civil engineering [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37], maritime engineering [38][39][40][41][42][43][44][45], mechanical engineering [17] and biomechanics [46]. It is confirmed by these literatures that VFIFE has a great potential for the application to civil and infrastructure engineering.…”
Section: Introductionmentioning
confidence: 96%
“…Rayleigh damping is assumed for the bridge [2]. In the literature, the dynamic behavior of structures subjected to four-axle two-bogie train with 10 unconstrained degrees of freedom is investigated by authors [3][4][5][6][7]. Other train models have been studied, such as those 2-axle 6 DOF by [8] , 4 DOF by [9] ; moving suspension mass model [10].…”
Section: Introductionmentioning
confidence: 99%